Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 6 (2010), 029, 16 pages      arXiv:0910.5144      http://dx.doi.org/10.3842/SIGMA.2010.029
Contribution to the Proceedings of the XVIIIth International Colloquium on Integrable Systems and Quantum Symmetries

Jordan-Schwinger Representations and Factorised Yang-Baxter Operators

David Karakhanyan a and Roland Kirschner b
a) Yerevan Physics Institute, Br. Alikhanian Str. 2, 375036 Yerevan, Armenia
b) Institut für Theoretische Physik, Universität Leipzig, PF 100 920, D-04009 Leipzig, Germany

Received October 28, 2009, in final form March 30, 2010; Published online April 07, 2010

Abstract
The construction elements of the factorised form of the Yang-Baxter R operator acting on generic representations of q-deformed sl(n+1) are studied. We rely on the iterative construction of such representations by the restricted class of Jordan-Schwinger representations. The latter are formulated explicitly. On this basis the parameter exchange and intertwining operators are derived.

Key words: Yang-Baxter equation; factorisation method.

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